Question

Aucuy.
leave remainder 5 in each case.
5. Find the lowest number which
4. Find the highest number by which 101 and 137 can be divided so a​

Answer 1

Answer:

Since the remainder has been given, we have to subtract the remainder (5) from both the numbers and then take the GCD aka HCF of these two numbers to arrive at our answer.

101 - 5 = 96

137 - 5 = 132

96 = 12*8

132 = 12*11

Therefore, the HCF of 96 and 132, which is 12, is our answer.

101 = 12*8 + 5

137 = 12*12 + 5

Thus, for the same divisor 12, we have the same remainder, which is 5.